Several classes of PcN power functions over finite fields

DOI10.1016/J.DAM.2022.08.022zbMath1498.94084OpenAlexW4295065764WikidataQ114191373 ScholiaQ114191373MaRDI QIDQ2081480

Dabin Zheng, Lei Hu, Xiaoqiang Wang

Publication date: 13 October 2022

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2022.08.022

zbMATH Keywords

differential spectrum\(c\)-differential uniformityalmost perfect \(c\)-nonlinear functionperfect \(c\)-nonlinear function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Finite fields (field-theoretic aspects) (12E20)

Related Items (6)

Investigations of \(c\)-differential uniformity of permutations with Carlitz rank 3 ⋮ P℘N functions, complete mappings and quasigroup difference sets ⋮ Low \(c\)-differential uniformity of the swapped inverse function in odd characteristic ⋮ A note on the \(c\)-differential spectrum of an AP\(c\)N function ⋮ On non-monomial APcN permutations over finite fields of even characteristic ⋮ On a class of APN power functions over odd characteristic finite fields: their differential spectrum and \(c\)-differential properties

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